Feedback linearization of an active magnetic bearing system operated with a zero–bias flux

Author:

Mystkowski Arkadiusz1,Kaparin Vadim2,Kotta Ülle2,Pawluszewicz Ewa1,Tõnso Maris2

Affiliation:

1. Department of Automatic Control and Robotics , Bialystok University of Technology , ul. Wiejska 45A, 15-351 Bialystok , Poland

2. Department of Software Science , Tallinn University of Technology , Akadeemia tee 21, 12618 Tallinn , Estonia

Abstract

Abstract Input-output linearization by state feedback is applied to a flux-controlled active magnetic bearing (AMB) system, operated in the zero-bias mode. Two models of the AMB system are employed. The first one is described by the third-order dynamics with a flux-dependent voltage switching scheme, whereas the second one is the fourth-order system, called self-sensing AMB, since it does not require the measurement of the rotor position. In the case of that system we had to find the flat outputs to guarantee its stability. The proposed control schemes are verified by means of numerical simulations performed within the Matlab environment.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference20 articles.

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2. Charara, A., De Miras, J. and Caron, B. (1996). Nonlinear control of a magnetic levitation system without premagnetization, IEEE Transactions on Control Systems Technology4(5): 513–523.10.1109/87.531918

3. Chen, M. and Knospe, C.R. (2005). Feedback linearization of active magnetic bearings: Current-mode implementation, IEEE/ASME Transactions on Mechatronics10(6): 632–639.10.1109/TMECH.2005.859824

4. Conte, G., Moog, C.H. and Perdon, A.M. (2007). Algebraic Methods for Nonlinear Control Systems. Theory and Applications, 2nd Edn., Springer, London.

5. Ghosh, J., Mukherjee, D., Baloh, M. and Paden, B. (2000). Nonlinear control of a benchmark beam balance experiment using variable hyperbolic bias, American Control Conference, Chicago, IL, USA, pp. 2149–2153.

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